Search a number
-
+
4242483072 = 273234710613
BaseRepresentation
bin1111110011011111…
…0010011110000000
3101221122222110200200
43330313302132000
532142033424242
61540551045200
7210063340212
oct37467623600
911848873620
104242483072
111887853363
129a4970800
13527c31819
142c36345b2
1519c6c204c
hexfcdf2780

4242483072 has 96 divisors (see below), whose sum is σ = 12244522680. Its totient is φ = 1409952768.

The previous prime is 4242483053. The next prime is 4242483107. The reversal of 4242483072 is 2703842424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394438 + ... + 405050.

Almost surely, 24242483072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122261340).

4242483072 is an abundant number, since it is smaller than the sum of its proper divisors (8002039608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4242483072 is a wasteful number, since it uses less digits than its factorization.

4242483072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10980 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4242483072 is about 65134.3463312560. The cubic root of 4242483072 is about 1618.8503594710.

The spelling of 4242483072 in words is "four billion, two hundred forty-two million, four hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 347 384 576 694 1041 1152 1388 2082 2776 3123 4164 5552 6246 8328 10613 11104 12492 16656 21226 22208 24984 31839 33312 42452 44416 49968 63678 66624 84904 95517 99936 127356 133248 169808 191034 199872 254712 339616 382068 399744 509424 679232 764136 1018848 1358464 1528272 2037696 3056544 3682711 4075392 6113088 7365422 11048133 12226176 14730844 22096266 29461688 33144399 44192532 58923376 66288798 88385064 117846752 132577596 176770128 235693504 265155192 353540256 471387008 530310384 707080512 1060620768 1414161024 2121241536 4242483072